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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 49 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.879520 ÷ 989 =
  2. 2.3846 ÷ 89 =
  3. 3.952394 ÷ 897 =
  4. 4.50013 ÷ 98 =
  5. 5.8194 ÷ 8 =
  6. 6.12889 ÷ 98 =
  7. 7.6106 ÷ 98 =
  8. 8.80301 ÷ 97 =
  9. 9.76919 ÷ 97 =
  10. 10.95580 ÷ 88 =
  11. 11.34353 ÷ 89 =
  12. 12.55098 ÷ 96 =
  13. 13.14660 ÷ 98 =
  14. 14.82832 ÷ 997 =
  15. 15.862519 ÷ 997 =
  16. 16.24879 ÷ 88 =
  17. 17.6149 ÷ 8 =
  18. 18.83744 ÷ 88 =
  19. 19.267087 ÷ 897 =
  20. 20.69395 ÷ 98 =
  21. 21.907591 ÷ 998 =
  22. 22.163656 ÷ 989 =
  23. 23.20851 ÷ 998 =
  24. 24.84371 ÷ 88 =
  25. 25.7975 ÷ 89 =
  26. 26.9394 ÷ 8 =
  27. 27.10788 ÷ 989 =
  28. 28.730372 ÷ 997 =
  29. 29.17183 ÷ 88 =
  30. 30.6567 ÷ 8 =
  31. 31.7123 ÷ 8 =
  32. 32.37687 ÷ 88 =
  33. 33.5302 ÷ 97 =
  34. 34.716859 ÷ 897 =
  35. 35.6073 ÷ 8 =
  36. 36.518325 ÷ 989 =
  37. 37.58757 ÷ 97 =
  38. 38.4350 ÷ 96 =
  39. 39.24638 ÷ 97 =
  40. 40.82386 ÷ 98 =

Answer key

  1. 889 rem 299
  2. 43 rem 19
  3. 1061 rem 677
  4. 510 rem 33
  5. 1024 rem 2
  6. 131 rem 51
  7. 62 rem 30
  8. 827 rem 82
  9. 792 rem 95
  10. 1086 rem 12
  11. 385 rem 88
  12. 573 rem 90
  13. 149 rem 58
  14. 83 rem 81
  15. 865 rem 114
  16. 282 rem 63
  17. 768 rem 5
  18. 951 rem 56
  19. 297 rem 678
  20. 708 rem 11
  21. 909 rem 409
  22. 165 rem 471
  23. 20 rem 891
  24. 958 rem 67
  25. 89 rem 54
  26. 1174 rem 2
  27. 10 rem 898
  28. 732 rem 568
  29. 195 rem 23
  30. 820 rem 7
  31. 890 rem 3
  32. 428 rem 23
  33. 54 rem 64
  34. 799 rem 156
  35. 759 rem 1
  36. 524 rem 89
  37. 605 rem 72
  38. 45 rem 30
  39. 254 rem 0
  40. 840 rem 66

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